Finite Group Databasebeta

← Group #287356

Character table — Group #287356

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888844444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-11
χ1111111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-11
χ1211111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1111-1
χ1311111111-1-1-1-111111111-1-111-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-11
χ1411111111-1-1-1-111111111-1-111-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-11-1
χ1511111111-1-1-1-111111111-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-111-1-1-1-1111-1
χ1611111111-1-1-1-111111111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1-11
χ172222222222222-222-2-22-222-2-2-2-2-2000000000000000000000000002-22-200000000
χ182222222222222-222-2-22-222-2-2-2-2-200000000000000000000000000-22-2200000000
χ19222222222222-22-2-222-22-2-2-2-222-200000000000022220000-2-2-2-200000000000000
χ20222222222222-22-2-222-22-2-2-2-222-2000000000000-2-2-2-20000222200000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-222-2-22000000002i2i−2i−2i00002i2i−2i−2i000000000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-222-2-2200000000−2i−2i2i2i0000−2i−2i2i2i000000000000000000
χ2322222222-2-2-2-22-222-2-22-2-2-2-2-2222000000000000000000000000002-2-2200000000
χ2422222222-2-2-2-22-222-2-22-2-2-2-2-222200000000000000000000000000-222-200000000
χ2522222222-2-2-2-2-22-2-222-2222-2-2-2-2200000000000022-2-20000-2-22200000000000000
χ2622222222-2-2-2-2-22-2-222-2222-2-2-2-22000000000000-2-222000022-2-200000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i0000−2i−2i2i2i000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i00002i2i−2i−2i000000000000000000
χ2922-2-22-2-2222-2-202002-20-200002-20i2i2−i2−i2i2i2−i2−i200002-22-20000000000000000i2−i2i2−i200
χ3022-2-22-2-2222-2-202002-20-200002-20i2i2−i2−i2i2i2−i2−i20000-22-220000000000000000−i2i2−i2i200
χ3122-2-22-2-2222-2-202002-20-200002-20−i2−i2i2i2−i2−i2i2i200002-22-20000000000000000−i2i2−i2i200
χ3222-2-22-2-2222-2-202002-20-200002-20−i2−i2i2i2−i2−i2i2i20000-22-220000000000000000i2−i2i2−i200
χ3322-2-22-2-22-2-22202002-20-20000-220i2i2−i2−i2−i2−i2i2i200002-2-220000000000000000i2−i2−i2i200
χ3422-2-22-2-22-2-22202002-20-20000-220i2i2−i2−i2−i2−i2i2i20000-222-20000000000000000−i2i2i2−i200
χ3522-2-22-2-22-2-22202002-20-20000-220−i2−i2i2i2i2i2−i2−i200002-2-220000000000000000−i2i2i2−i200
χ3622-2-22-2-22-2-22202002-20-20000-220−i2−i2i2i2i2i2−i2−i20000-222-20000000000000000i2−i2−i2i200
χ372-2-2-2222-200002-22-22-2-22002-20002i−2i2i−2i0000000000002-22-200000000002i−2i000000
χ382-2-2-2222-200002-22-22-2-22002-20002i−2i2i−2i000000000000-22-220000000000−2i2i000000
χ392-2-2-2222-200002-22-22-2-22002-2000−2i2i−2i2i0000000000002-22-20000000000−2i2i000000
χ402-2-2-2222-200002-22-22-2-22002-2000−2i2i−2i2i000000000000-22-2200000000002i−2i000000
χ412-2-2-2222-20000-22-22-222-2002-200000002i−2i2i−2i000000002i−2i−2i2i00002-2000000000000
χ422-2-2-2222-20000-22-22-222-2002-200000002i−2i2i−2i00000000−2i2i2i−2i0000-22000000000000
χ432-2-2-2222-20000-22-22-222-2002-20000000−2i2i−2i2i000000002i−2i−2i2i0000-22000000000000
χ442-2-2-2222-20000-22-22-222-2002-20000000−2i2i−2i2i00000000−2i2i2i−2i00002-2000000000000
χ45444-4-44-4-44-44-40000000000000000000000000000000000022−2222−2200000000000000
χ46444-4-44-4-44-44-400000000000000000000000000000000000−2222−222200000000000000
χ47444-4-44-4-4-44-440000000000000000000000000000000000022−22−222200000000000000
χ48444-4-44-4-4-44-4400000000000000000000000000000000000−222222−2200000000000000
χ4944-44-4-44-44-4-4440-4-400404-40000000000000000000000000000000000000000000
χ5044-44-4-44-44-4-44-404400-40-440000000000000000000000000000000000000000000
χ5144-44-4-44-4-444-440-4-40040-440000000000000000000000000000000000000000000
χ5244-44-4-44-4-444-4-404400-404-40000000000000000000000000000000000000000000
χ5344-4-44-4-4444-4-40-400-44040000-44000000000000000000000000000000000000000
χ5444-4-44-4-44-4-4440-400-440400004-4000000000000000000000000000000000000000
χ554-4444-4-4-400000400-4-4040000000000022−22−2222000000000000000000000000000000
χ564-4444-4-4-400000400-4-40400000000000−222222−22000000000000000000000000000000
χ574-4444-4-4-400000-400440-4000000022−22−22220000000000000000000000000000000000
χ584-4444-4-4-400000-400440-40000000−222222−220000000000000000000000000000000000
χ594-44-4-4-444000040-4400-400000000000000002i2−2i22i2−2i200000000000000000000000000
χ604-44-4-4-444000040-4400-40000000000000000−2i22i2−2i22i200000000000000000000000000
χ614-44-4-4-4440000-404-4004000000000000000022−22−222200000000000000000000000000
χ624-44-4-4-4440000-404-40040000000000000000−222222−2200000000000000000000000000
χ634-4-4-4444-40000444-4-44-4-400-4400000000000000000000000000000000000000000
χ644-4-4-4444-40000-4-4-444-44400-4400000000000000000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).